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Finding the Fourth Proportional to 318,064.80, 438,931.84 and 174,827.20

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Solution

The fourth proportional to 318,064.80, 438,931.84 and 174,827.20 is: 241,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,064.80 : 438,931.84 = 174,827.20 : x
  2. Step 2: Convert to fraction form
    318,064.80/438,931.84 = 174,827.20/x
  3. Step 3: Cross multiply
    318,064.80x = 438,931.84 × 174,827.20
  4. Step 4: Simplify right side
    318,064.80x = 76,737,224,578.05
  5. Step 5: Solve for x
    x = 76,737,224,578.05/318,064.80
  6. Step 6: Final answer
    x = 241,262.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.